Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Matrix Algebra for Structural analysis
Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the d…
Question
a * 14 200 GPa; /= 1120 × 106 mm4]. If w=66 kN/m and P= 128 kN, determine: P AY, V A 1.5 m B W 3.5 m leet [VIT C numerator ΕΙ de-itange snape [E 2.5 m Figure Q.2 Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D. a) Calculate the value of the deflection at point B due to uniformly distributed load win the form D UB Note: E/ will cancel out in further calculations. Enter the numerator in the answer box below in kNm³ to three decimal places. Assume the positive direction of deflection in the positive direction of v axis. X
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Transcribed Image Text:a * 14 200 GPa; /= 1120 × 106 mm4]. If w=66 kN/m and P= 128 kN, determine: P AY, V A 1.5 m B W 3.5 m leet [VIT C numerator ΕΙ de-itange snape [E 2.5 m Figure Q.2 Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D. a) Calculate the value of the deflection at point B due to uniformly distributed load win the form D UB Note: E/ will cancel out in further calculations. Enter the numerator in the answer box below in kNm³ to three decimal places. Assume the positive direction of deflection in the positive direction of v axis. X
Part B. The magnitude of the maximum bending stress in the beam. f) Find the maximum bending moment in the beam. Enter your answer in kNm to two decimal places. Answer: Check g) Calculate the magnitude of the maximum bending stress in the beam. Enter your answer in MPa to two decimal places
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Transcribed Image Text:Part B. The magnitude of the maximum bending stress in the beam. f) Find the maximum bending moment in the beam. Enter your answer in kNm to two decimal places. Answer: Check g) Calculate the magnitude of the maximum bending stress in the beam. Enter your answer in MPa to two decimal places
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Step 1: Introducing given data
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Step 2: Taking reaction at B as redundant
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Step 3: Calculate vertical reaction at A for simply supported beam AD for udl & load
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Step 4: Using double integration method to calculate deflection at B due to udl w
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Step 5: Using double integration method to calculate deflection at B due to load P
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Step 6: Using double integration method to calculate deflection at B due to reaction By
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Step 7: Calculate reaction at B
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Step 8: Calculate max moment
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Step 9: Calculate max bending stress
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Solution
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